Polyhedra

1 / 30

# Polyhedra - PowerPoint PPT Presentation

Polyhedra. STEM Cats 2014. Tessellations. M.C. Escher. Buckminsterfullerene. Common Cold Virus. Bogota Sport Center. Epcot. Dice. Seven Days Sci Fi TV Series. Rubies. Giant’s Causeway. Origami. Lamps. Projection of Cube. Projection of a Hypercube. Projection of a Hypercube.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## Polyhedra

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Polyhedra

STEM Cats 2014

Challenge #1

Construct as many tessellations as you can with identical regular polygons

Challenge #2

Construct as many tessellations as you can with the following properties

• All tiles are regular polygons
• There are at least two different kinds of tiles
• The same sequence of tiles meets around each vertex
Challenge #3

Construct as many polyhedra that you can with the following properties

• All faces are equilateral triangles
• All edges bend “outward”– the polyhedron is convex
Challenge #4

Construct as many polyhedra that you can with the following properties

• All faces are identical regular polygons
• The same number of faces meet at each vertex (corner)
Challenge #5

Construct as many polyhedra that you can with the following properties

• All faces are regular polygons
• There are at least two different kinds of faces
• The same sequence of faces meets around each vertex
Challenge #6

Find all flat shapes formed by six squares that can be folded up to make a cube.

Image Sources
• http://www.georgehart.com/virtual-polyhedra/escher.html
• http://it.wikipedia.org/wiki/Fullereni#mediaviewer/File:Fullerene-C60.png
• http://www.lightnessofbeingbook.com/LOBColorPlates/images/Plate03b_IcosVirus.jpg
• http://www.domusweb.it/en/architecture/2012/01/04/el-bosque-de-la-esperanza.html
• http://images.frpgames.org/products/product_36488.jpg
• http://i1.sell.com/u/3H/5G/5BQ/4706433-l.jpg
• http://images.nationalgeographic.com/wpf/media-live/photos/000/011/cache/rubies_1176_990x742.jpg
• http://shearings-cdn2.zolvtravel.com/DynamicImages/d510/d510755c6e739c2465038ddea2f849d0_640_480-634873692367638135.jpg
• http://michal.kosmulski.org/origami/icosidodecahedron-jitterbug.jpg
• http://media.tumblr.com/tumblr_lefroeVII61qeb9gf.jpg
• http://www.jeffreyventrella.com/Old_Art/cuboctahedron_big.jpg
• http://www.wdwinfo.com/Photos/600-spaceship-earth3.jpg